In order to commit and deploy page layout assignments with Copado [CI/CD], you need to include the following components in your Essentials work item or deployment:
If the object doesn't have any record type:
Profile(s) involved in the assignment.
Page layout(s) that are assigned to the profiles.
If the object has record types:
Profile(s) involved in the assignment.
Record type(s) involved in the assignment.
Page layout(s) that are assigned to the profiles and the record types.
Note, if you have downloaded the XML package file, the Page Layout Assignments are specified under the <recordTypeVisibilities> section.